What is the Greatest Common Factor of 50858 and 50870?

Greatest common factor (GCF) of 50858 and 50870 is 2.

GCF(50858,50870) = 2

We will now calculate the prime factors of 50858 and 50870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50858 and 50870.

How to find the GCF of 50858 and 50870?

We will first find the prime factorization of 50858 and 50870. After we will calculate the factors of 50858 and 50870 and find the biggest common factor number .

Step-1: Prime Factorization of 50858

Prime factors of 50858 are 2, 59, 431. Prime factorization of 50858 in exponential form is:

50858 = 2¹ × 59¹ × 431¹

Step-2: Prime Factorization of 50870

Prime factors of 50870 are 2, 5, 5087. Prime factorization of 50870 in exponential form is:

50870 = 2¹ × 5¹ × 5087¹

Step-3: Factors of 50858

List of positive integer factors of 50858 that divides 50858 without a remainder.

1, 2, 59, 118, 431, 862, 25429

Step-4: Factors of 50870

List of positive integer factors of 50870 that divides 50858 without a remainder.

1, 2, 5, 10, 5087, 10174, 25435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50858 and 50870. The biggest common factor number is the GCF number.
So the greatest common factor 50858 and 50870 is 2.

Also check out the Least Common Multiple of 50858 and 50870